Regions Between Circles and Squares - All

A common application of the area of a circle and the area of a square are problems where a circle is circumscribed about a square or inscribed in a square. Regions between circles and squares problems almost always involve subtracting the two areas; their difficulty stems from dimensions given for one but not both shapes. Related topics include area of sectors and area of circles.

Sample Problems
(2)

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Problem 1

How to calculate the area of a region formed by four circles inside a square.

Problem 2

How to calculate the area of a region formed by four quarter circles inside a square.